Solve 85*88%+238*95%+14

$$85 \times 88 \% +238 \times 95 \% +14$$

Evaluate

$$\frac{3149}{10}=314.9$$

Solution Steps

Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$85\times \frac{22}{25}+238\times \frac{95}{100}+14$$

Express 85\times \frac{22}{25} as a single fraction.

$$\frac{85\times 22}{25}+238\times \frac{95}{100}+14$$

Multiply 85 and 22 to get 1870.

$$\frac{1870}{25}+238\times \frac{95}{100}+14$$

Reduce the fraction \frac{1870}{25} to lowest terms by extracting and canceling out 5.

$$\frac{374}{5}+238\times \frac{95}{100}+14$$

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$\frac{374}{5}+238\times \frac{19}{20}+14$$

Express 238\times \frac{19}{20} as a single fraction.

$$\frac{374}{5}+\frac{238\times 19}{20}+14$$

Multiply 238 and 19 to get 4522.

$$\frac{374}{5}+\frac{4522}{20}+14$$

Reduce the fraction \frac{4522}{20} to lowest terms by extracting and canceling out 2.

$$\frac{374}{5}+\frac{2261}{10}+14$$

Least common multiple of 5 and 10 is 10. Convert \frac{374}{5} and \frac{2261}{10} to fractions with denominator 10.

$$\frac{748}{10}+\frac{2261}{10}+14$$

Since \frac{748}{10} and \frac{2261}{10} have the same denominator, add them by adding their numerators.

$$\frac{748+2261}{10}+14$$

Add 748 and 2261 to get 3009.

$$\frac{3009}{10}+14$$

Convert 14 to fraction \frac{140}{10}.

$$\frac{3009}{10}+\frac{140}{10}$$

Since \frac{3009}{10} and \frac{140}{10} have the same denominator, add them by adding their numerators.

$$\frac{3009+140}{10}$$

Add 3009 and 140 to get 3149.

$$\frac{3149}{10}$$

Factor

$$\frac{47 \cdot 67}{2 \cdot 5} = 314\frac{9}{10} = 314.9$$